Question

Write the value of √32+√48by√8+√12

Answer 1

Hey friend, ☺️ here is your answer _____________________________

$\frac{ \sqrt{32} + \sqrt{48} }{ \sqrt{8} + \sqrt{12} } \\ = \frac{ \sqrt{2 \times 2 \times 2 \times 2 \times 2} + \sqrt{2 \times 2 \times 2 \times 2 \times 3} }{ \sqrt{2 \times 2 \times 2} + \sqrt{2 \times 2 \times 3} } \\ = \frac{4 \sqrt{2} + 4 \sqrt{3} }{2 \sqrt{2} + 2 \sqrt{3} } \\ = \frac{4( \sqrt{2} + \sqrt{3} )}{2( \sqrt{2} + \sqrt{3} )} \\ after \: cancelling \: out \: we \: get \\ = 2$
Hope this helps you..